Home / 1,540.39-2,308.77-615.75

Finding the Fourth Proportional to 1,540.39, 2,308.77 and 615.75

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Solution

The fourth proportional to 1,540.39, 2,308.77 and 615.75 is: 922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.39 : 2,308.77 = 615.75 : x
  2. Step 2: Convert to fraction form
    1,540.39/2,308.77 = 615.75/x
  3. Step 3: Cross multiply
    1,540.39x = 2,308.77 × 615.75
  4. Step 4: Simplify right side
    1,540.39x = 1,421,622.05
  5. Step 5: Solve for x
    x = 1,421,622.05/1,540.39
  6. Step 6: Final answer
    x = 922.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.